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if a gas at 300k occupies 3.60 liters at a pressure of 1.00 atm, what will be it’s new pressure if the volume is compressed to 2.0 liters at a temperature of 450K?

Sagot :

Answer: The new pressure if the volume is compressed to 2.0 liters at a temperature of 450K is 2.7 atm

Explanation:

The combined gas equation is,

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = 1.00 atm

[tex]P_2[/tex] = final pressure of gas = ?

[tex]V_1[/tex] = initial volume of gas = 3.60 L

[tex]V_2[/tex] = final volume of gas = 2.0 L

[tex]T_1[/tex] = initial temperature of gas = [tex]300K[/tex]

[tex]T_2[/tex] = final temperature of gas = [tex]450K[/tex]

Now put all the given values in the above equation, we get:

[tex]\frac{1.00\times 3.60}{300}=\frac{P_2\times 2.0}{450}[/tex]

[tex]P_2=2.7atm[/tex]

The new pressure is 2.7 atm