Question

A gas in a piston starts out with a volume of 156mL, a temperature of 28.1 degrees Celsius, and a pressure of 1.12atm. If it ends with a volume of 312mL and a temperature of 87.2 degrees Celsius, what is the new pressure?

Answer 1

Question #85507, Chemistry / General Chemistry

A gas in a piston starts out with a volume of 156mL, a temperature of 28.1 degrees Celsius, and a pressure of 1.12atm. If it ends with a volume of 312mL and a temperature of 87.2 degrees Celsius, what is the new pressure?

Solution

According to the ideal gas law for the same amount of gas:

$$\frac {P _ {1} V _ {1}}{T _ {1}} = \frac {P _ {2} V _ {2}}{T _ {2}};$$

Then

$$P _ {2} = \frac {P _ {1} \times V _ {1} \times T _ {2}}{V _ {2} \times T _ {1}}, \text{ where } T _ {1} = 301.1 \text{ K}; T _ {2} = 360.2 \text{ K}$$ $$P _ {2} = \frac {1.12 \times 156 \times 360.2}{312 \times 301.1} = 0.67 \text{ (atm)}$$

Answer

0.67 atm is the new pressure of gas in a piston.

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