Answer: The volume when the pressure and temperature has changed is 400 mL
Explanation:
To calculate the volume when temperature and pressure has changed, we use the equation given by combined gas law.
The equation follows:
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1,V_1\text{ and }T_1[/tex] are the initial pressure, volume and temperature of the gas
[tex]P_2,V_2\text{ and }T_2[/tex] are the final pressure, volume and temperature of the gas
We are given:
[tex]P_1=P_1\\V_1=600.00mL\\T_1=T_1\\P_2=3P_1\\V_2=?\\T_2=2T_1[/tex]
Putting values in above equation, we get:
[tex]\frac{P_1\times 600mL}{T_1}=\frac{3P_1\times V_2}{2T_1}\\\\V_2=\frac{600\times P_1\times 2T_1}{T_1\times 3P_1}=400mL[/tex]
Hence, the volume when the pressure and temperature has changed is 400 mL
