A sample of methane collected when the temp was 30 C mmHg measures 398 mL. What would be the volume of the sample at -5 C and 61

Question

anyanavicka [17]

3 years ago

5

A sample of methane collected when the temp was 30 C mmHg measures 398 mL. What would be the volume of the sample at -5 C and 61

6 mmHg pressure

Chemistry

1 answer:

Levart [38] · Answer 1 · 2022-08-05T00:59:34+03:00

<h2>Question </h2>

A sample of methane collected when the temp was 30 C and 760mmHg measures 398 mL. What would be the volume of the sample at -5 C and 616 mmHg pressure

<h2>Answer:</h2>

434.32mL

<h2>Explanation:</h2>

Using the combined gas law:

$\frac{PV}{T}$ = k

Where;

P = Pressure

V = Volume

T = Temperature

k = constant.

It can be deduced that:

$\frac{P_1V_1}{T_1}$ = $\frac{P_2V_2}{T_2}$ = k ---------------------(i)

Where:

P₁ and P₂ are the initial and final pressures of the given gas

V₁ and V₂ are the initial and final volumes of the given gas

T₁ and T₂ are the initial and final temperatures of the gas.

<em>From the question:</em>

the gas is methane

P₁ = 760mmHg

P₂ = 616mmHg

V₁ = 398mL

V₂ = ?

T₁ = 30°C = (30 +273)K = 303K

T₂ = -5°C = (-5 +273)K = 268K

Substitute these values into equation (i) as follows;

$\frac{760*398}{303}$ = $\frac{616*V_2}{268}$

Solve for V₂

V₂ = $\frac{760*398*268}{616*303}$

V₂ = 434.32mL

Therefore, the volume of the sample at -5C and 616mmHg pressure is 434.32mL