Chemistry
02.03.2022 15:17
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30. A rigid plastic container holds 1.00 L methane gas at 0.9 atm pressure when

30. A rigid plastic container holds 1.00 L methane gas at 0.9
atm pressure when the temperature is 22.0°C. How much
more pressure will the gas exert if the temperature is raised
to 44.6°C?
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tmrsavage02p7cj16
tmrsavage02p7cj16
4,6(8 marks)

The new pressure exerted by the gas is 0.646 atm

Explanation:

To calculate the final temperature of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

\frac{P_1}{T_1}=\frac{P_2}{T_2}

where,

P_1\text{ and }T_1 are the initial pressure and temperature of the gas.

P_2\text{ and }T_2 are the final pressure and temperature of the gas.

We are given:

P_1=0.9atm\\T_1=22^oC=[22+273]K=295K\\P_2=?\\T_2=44.6^oC=[44.6+273]K=317.6K

Putting values in above equation, we get:

\frac{0.6atm}{295K}=\frac{P_2}{317.6}\\\\T_2=\frac{317.6\times 0.6}{295}=0.646atm

Hence, the new pressure exerted by the gas is 0.646 atm

wendymtz2004
wendymtz2004
5,0(79 marks)

D

Explanation:

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