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The volume of a gas is 605 liters at 27.0°C. The new temperature is -3.0°C. What is the new volume? (Remember to convert temperatures to the Kelvin scale.)

User Zeek
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2 Answers

0 votes

Answer:

545 L

Step-by-step explanation:

User Pier Paolo Ramon
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2 votes

Answer: The new volume is 544 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=605L\\T_1=27.0^oC=(27.0+273)K=300K\\V_2=?\\T_2=-3.0^0C=(273+(-3.0))K=270K

Putting values in above equation, we get:


(605)/(300)=(V_2)/(270)\\\\V_2=544L

Thus the new volume is 544 L

User Mickie
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