Question

A 29.1 liter tank contains ideal helium gas at 35.8°C and a pressure of 21.8 atm How many moles of gas are in the tank?

Answer 1

Answer:

No. of moles, n = 25.022 moles

Given:

Volume of gas in tank, V = 29.1 l

Temperate of gas, T = $35.8^{\circ}$ = 273 + 35.8 = 308.8 K

Pressure of gas, P = 21.8 atm

Solution:

Making use of the ideal gas equation which given as:

PV = nRT

where

R = Rydberg's constant = 0.0821 L-atm/mol-K

Re-arranging the above formula for 'n' and putting the values in the above formula:

$n = \frac{PV}{RT}$

$n = \frac{21.8\times 29.1}{0.0821\times 308.8}$

n = 25.022