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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?

Respuesta :

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