Answer:
The new volume of the gas is 29.57 Liters
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;
[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\\\\V_2 = \frac{P_1V_1T_2}{T_1P_2}\\\\V_2 = \frac{12*23*300}{200*14}\\\\V_2 = 29.57 \ Liters[/tex]
Therefore, the new volume of the gas is 29.57 Liters