Question

If I initially have a gas at a pressure of 12 atm, a volume of 23 Liters and a temperature of 200K, and then I raise the pressure to 14 atm and increase the temperature to 300K, what is the new volume?

Answer 1

The new volume of the gas is 29.57 Liters

Step-by-step explanation:

Given;

initial pressure of gas, P₁ = 12 atm

initial volume of gas, V₁ = 23 Liters

initial temperature of gas, T₁ = 200 K

final pressure of gas, P₂ = 14 atm

final temperature of gas, T₂ = 300 K

final volume of gas, V₂ = ?

To determine the final volume of the gas, we apply general gas law;

`(P_1V_1)/(T_1) = (P_2V_2)/(T_2)\\\\V_2 = (P_1V_1T_2)/(T_1P_2)\\\\V_2 = (12*23*300)/(200*14)\\\\V_2 = 29.57 \ Liters`

Therefore, the new volume of the gas is 29.57 Liters