QuestionWhat is the mass of 50.0 mL for each substance? (Densities: Lead $11.4 \mathrm{~g/mL}$ , Ethanol $0.785 \mathrm{~g/mL}$ , Oxygen $1.4 \times 10^{-3} \mathrm{~g/mL}$ , Hydrogen $8.4 \times 10^{-5} \mathrm{~g/mL}$ , Mercury $13.6 \mathrm{~g/mL}$ , Gold $19.3 \mathrm{~g/mL}$ )

Studdy Solution

STEP 1

Assumptions1. The volume of each substance is $50.0 \, mL$ . . The densities of the substances are given in $g/mL$ .
3. The mass of each substance can be found using the formula $mass = density \times volume$ .

STEP 2

The formula to find the mass of a substance when you know the volume and density is $mass = density \times volume$

STEP 3

Now, plug in the given values for the volume and density of lead to calculate its mass.
$mass_{lead} =11. \, g/mL \times50.0 \, mL$

STEP 4

Calculate the mass of lead.
$mass_{lead} =11.4 \, g/mL \times50.0 \, mL =570 \, g$

STEP 5

Repeat the process for ethanol. Plug in the given values for the volume and density of ethanol to calculate its mass.
$mass_{ethanol} =0.785 \, g/mL \times50.0 \, mL$

STEP 6

Calculate the mass of ethanol.
$mass_{ethanol} =0.785 \, g/mL \times50.0 \, mL =39.25 \, g$

STEP 7

Repeat the process for oxygen gas. Plug in the given values for the volume and density of oxygen gas to calculate its mass.
$mass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL$

STEP 8

Calculate the mass of oxygen gas.
$mass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL =0.07 \, g$

STEP 9

Repeat the process for hydrogen gas. Plug in the given values for the volume and density of hydrogen gas to calculate its mass.
$mass_{hydrogen} =8.4 \times^{-5} \, g/mL \times50. \, mL$

STEP 10

Calculate the mass of hydrogen gas.
$mass_{hydrogen} =8.4 \times10^{-5} \, g/mL \times50.0 \, mL =0.0042 \, g$

STEP 11

Repeat the process for mercury. Plug in the given values for the volume and density of mercury to calculate its mass.
$mass_{mercury} =13.6 \, g/mL \times50.0 \, mL$

STEP 12

Calculate the mass of mercury.
$mass_{mercury} =.6 \, g/mL \times50.0 \, mL =680 \, g$

STEP 13

Repeat the process for gold. Plug in the given values for the volume and density of gold to calculate its mass.
$mass_{gold} =19.3 \, g/mL \times50.0 \, mL$

STEP 14

Calculate the mass of gold.
$mass_{gold} =19.3 \, g/mL \times50.0 \, mL =965 \, g$ The mass of each substance that occupies a volume of $50.0 \, mL$ is(a) Lead $570 \, g$ (b) Ethanol $39.25 \, g$ (c) Oxygen gas $0.07 \, g$ (d) Hydrogen gas $0.0042 \, g$ (e) Mercury $680 \, g$ (f) Gold $965 \, g$

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QuestionWhat is the mass of 50.0 mL for each substance? (Densities: Lead $11.4 \mathrm{~g/mL}$ , Ethanol $0.785 \mathrm{~g/mL}$ , Oxygen $1.4 \times 10^{-3} \mathrm{~g/mL}$ , Hydrogen $8.4 \times 10^{-5} \mathrm{~g/mL}$ , Mercury $13.6 \mathrm{~g/mL}$ , Gold $19.3 \mathrm{~g/mL}$ )

Studdy Solution

STEP 1

Assumptions1. The volume of each substance is $50.0 \, mL$ . . The densities of the substances are given in $g/mL$ .
3. The mass of each substance can be found using the formula $mass = density \times volume$ .

STEP 2

The formula to find the mass of a substance when you know the volume and density is $mass = density \times volume$

STEP 3

Now, plug in the given values for the volume and density of lead to calculate its mass.
$mass_{lead} =11. \, g/mL \times50.0 \, mL$

STEP 4

Calculate the mass of lead.
$mass_{lead} =11.4 \, g/mL \times50.0 \, mL =570 \, g$

STEP 5

Repeat the process for ethanol. Plug in the given values for the volume and density of ethanol to calculate its mass.
$mass_{ethanol} =0.785 \, g/mL \times50.0 \, mL$

STEP 6

Calculate the mass of ethanol.
$mass_{ethanol} =0.785 \, g/mL \times50.0 \, mL =39.25 \, g$

STEP 7

Repeat the process for oxygen gas. Plug in the given values for the volume and density of oxygen gas to calculate its mass.
$mass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL$

STEP 8

Calculate the mass of oxygen gas.
$mass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL =0.07 \, g$

STEP 9

Repeat the process for hydrogen gas. Plug in the given values for the volume and density of hydrogen gas to calculate its mass.
$mass_{hydrogen} =8.4 \times^{-5} \, g/mL \times50. \, mL$

STEP 10

Calculate the mass of hydrogen gas.
$mass_{hydrogen} =8.4 \times10^{-5} \, g/mL \times50.0 \, mL =0.0042 \, g$

STEP 11

Repeat the process for mercury. Plug in the given values for the volume and density of mercury to calculate its mass.
$mass_{mercury} =13.6 \, g/mL \times50.0 \, mL$

STEP 12

Calculate the mass of mercury.
$mass_{mercury} =.6 \, g/mL \times50.0 \, mL =680 \, g$

STEP 13

Repeat the process for gold. Plug in the given values for the volume and density of gold to calculate its mass.
$mass_{gold} =19.3 \, g/mL \times50.0 \, mL$

STEP 14

Calculate the mass of gold.
$mass_{gold} =19.3 \, g/mL \times50.0 \, mL =965 \, g$ The mass of each substance that occupies a volume of $50.0 \, mL$ is(a) Lead $570 \, g$ (b) Ethanol $39.25 \, g$ (c) Oxygen gas $0.07 \, g$ (d) Hydrogen gas $0.0042 \, g$ (e) Mercury $680 \, g$ (f) Gold $965 \, g$

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Studdy Solution

STEP 1

Assumptions1. The volume of each substance is 50.0 mL50.0 \, mL50.0mL. . The densities of the substances are given in g/mLg/mLg/mL.3. The mass of each substance can be found using the formula mass=density×volumemass = density \times volumemass=density×volume.

STEP 2

The formula to find the mass of a substance when you know the volume and density ismass=density×volumemass = density \times volumemass=density×volume

STEP 3

Now, plug in the given values for the volume and density of lead to calculate its mass.masslead=11. g/mL×50.0 mLmass_{lead} =11. \, g/mL \times50.0 \, mLmasslead​=11.g/mL×50.0mL

STEP 4

Calculate the mass of lead.masslead=11.4 g/mL×50.0 mL=570 gmass_{lead} =11.4 \, g/mL \times50.0 \, mL =570 \, gmasslead​=11.4g/mL×50.0mL=570g

STEP 5

Repeat the process for ethanol. Plug in the given values for the volume and density of ethanol to calculate its mass.massethanol=0.785 g/mL×50.0 mLmass_{ethanol} =0.785 \, g/mL \times50.0 \, mLmassethanol​=0.785g/mL×50.0mL

STEP 6

Calculate the mass of ethanol.massethanol=0.785 g/mL×50.0 mL=39.25 gmass_{ethanol} =0.785 \, g/mL \times50.0 \, mL =39.25 \, gmassethanol​=0.785g/mL×50.0mL=39.25g

STEP 7

Repeat the process for oxygen gas. Plug in the given values for the volume and density of oxygen gas to calculate its mass.massoxygen=1.4×10−3 g/mL×50.0 mLmass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mLmassoxygen​=1.4×10−3g/mL×50.0mL

STEP 8

Calculate the mass of oxygen gas.massoxygen=1.4×10−3 g/mL×50.0 mL=0.07 gmass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL =0.07 \, gmassoxygen​=1.4×10−3g/mL×50.0mL=0.07g

STEP 9

Repeat the process for hydrogen gas. Plug in the given values for the volume and density of hydrogen gas to calculate its mass.masshydrogen=8.4×−5 g/mL×50. mLmass_{hydrogen} =8.4 \times^{-5} \, g/mL \times50. \, mLmasshydrogen​=8.4×−5g/mL×50.mL

STEP 10

Calculate the mass of hydrogen gas.masshydrogen=8.4×10−5 g/mL×50.0 mL=0.0042 gmass_{hydrogen} =8.4 \times10^{-5} \, g/mL \times50.0 \, mL =0.0042 \, gmasshydrogen​=8.4×10−5g/mL×50.0mL=0.0042g

STEP 11

Repeat the process for mercury. Plug in the given values for the volume and density of mercury to calculate its mass.massmercury=13.6 g/mL×50.0 mLmass_{mercury} =13.6 \, g/mL \times50.0 \, mLmassmercury​=13.6g/mL×50.0mL

STEP 12

Calculate the mass of mercury.massmercury=.6 g/mL×50.0 mL=680 gmass_{mercury} =.6 \, g/mL \times50.0 \, mL =680 \, gmassmercury​=.6g/mL×50.0mL=680g

STEP 13

Repeat the process for gold. Plug in the given values for the volume and density of gold to calculate its mass.massgold=19.3 g/mL×50.0 mLmass_{gold} =19.3 \, g/mL \times50.0 \, mLmassgold​=19.3g/mL×50.0mL

STEP 14

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Assumptions1. The volume of each substance is $50.0 \, mL$ . . The densities of the substances are given in $g/mL$ .
3. The mass of each substance can be found using the formula $mass = density \times volume$ .

The formula to find the mass of a substance when you know the volume and density is $mass = density \times volume$

Now, plug in the given values for the volume and density of lead to calculate its mass.
$mass_{lead} =11. \, g/mL \times50.0 \, mL$

Calculate the mass of lead.
$mass_{lead} =11.4 \, g/mL \times50.0 \, mL =570 \, g$

Repeat the process for ethanol. Plug in the given values for the volume and density of ethanol to calculate its mass.
$mass_{ethanol} =0.785 \, g/mL \times50.0 \, mL$

Calculate the mass of ethanol.
$mass_{ethanol} =0.785 \, g/mL \times50.0 \, mL =39.25 \, g$

Repeat the process for oxygen gas. Plug in the given values for the volume and density of oxygen gas to calculate its mass.
$mass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL$

Calculate the mass of oxygen gas.
$mass_{oxygen} =1.4 \times10^{-3} \, g/mL \times50.0 \, mL =0.07 \, g$

Repeat the process for hydrogen gas. Plug in the given values for the volume and density of hydrogen gas to calculate its mass.
$mass_{hydrogen} =8.4 \times^{-5} \, g/mL \times50. \, mL$

Calculate the mass of hydrogen gas.
$mass_{hydrogen} =8.4 \times10^{-5} \, g/mL \times50.0 \, mL =0.0042 \, g$

Repeat the process for mercury. Plug in the given values for the volume and density of mercury to calculate its mass.
$mass_{mercury} =13.6 \, g/mL \times50.0 \, mL$

Calculate the mass of mercury.
$mass_{mercury} =.6 \, g/mL \times50.0 \, mL =680 \, g$

Repeat the process for gold. Plug in the given values for the volume and density of gold to calculate its mass.
$mass_{gold} =19.3 \, g/mL \times50.0 \, mL$