Question

A 35.0 g sample of methane (CH4) exerts a pressure of 85.6 kPa at a temperature of 32ºC. What is the volume of the methane?

temperature in Kelvin _______


moles of CH4 _______


volume of CH4 _______

Answer 1

Answer:

temperature in kelvein :-273 Kelvin

Answer 2

Given:

Given mass of methane = 35.0g

Pressure = 85.6 kPa

Temperature = 32°C

To find:

(i) temperature in kelvin

(ii) moles of methane

(iii) volume of methane

Formula to be used:

1°C=273.15K

$n=\frac{given-mass}{molar-mass}$

PV=nRT

Step-by-step explanation:

Step 1 of 3

Temperature = 32°C.

1°C=273.15K

32°C=273.15+32

32°C=305.15K

Step 2 of 3

The moles of methane can be calculated by dividing the given mass by molecular mass.

$n=\frac{given-mass}{molar-mass} \\\\n=\frac{35}{16} \\\\n=2.1875$

Step 3 of 3

The volume of methane can be calculated by using the ideal gas equation.

$PV=nRT\\\\85.6kPa*V=2.1875*8.314*302.15\\\\V=\frac{5,495.16}{85.6} \\\\V=64.19L$

Temperature = 302.15K

Moles = 2.1875

Volume = 64.19L