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10 votes
10 votes
A plastic bag containing 2.2 L of gas at

1.0 atm pressure is cooled from 30°C to
0 °C. What will be the volume of the gas?​

User SriniShine
by
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1 Answer

15 votes
15 votes

Answer: The volume of the gas is 1.98 L.

Step-by-step explanation:

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

Mathematically,


(V_1)/(T_1)=(V_2)/(T_2)

where,


V_1\text{ and }T_1 are the initial volume and temperature of the gas.


V_2\text{ and }T_2 are the final volume and temperature of the gas.

We are given:


V_1=2.2L\\T_1=30^oC=(30+273)K=303K\\V_2=?\\T_2=0^0C=(0+273)K=273K

Putting values in above equation, we get:


(2.2)/(303)=(V_2)/(273)\\\\V_2=1.98L

Thus the volume of the gas is 1.98 L

User Nayan Sharma
by
3.2k points