Math Snap

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.
$$mass_{gold} =19.3 \, g/mL \times50.0 \, mL$$

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 $965 \, g$