A box contains two compartments (A & B) of equal volumeseparated by a divider. T

Question

A box contains two compartments (A & B) of equal volumeseparated by a divider. The two compartments contain an equalamount of the same gas, but the pressure in compartment A is twicethe pressure in compartment B. Which of the following is true? a. the temperature in A is twice the temperature in B. b. the temperature in B is twice the temperature in A. c. the temperature in A is four times the temperature inB. d. the gas in A has a higher density than the gas in B. a. the temperature in A is twice the temperature in B. b. the temperature in B is twice the temperature in A. c. the temperature in A is four times the temperature inB. d. the gas in A has a higher density than the gas in B.

Explanation / Answer

Using the ideal gas law: PV=nRT. V, n and R are all constant.If compartment A has 2 times the pressure (2P), it needstwice the temperature to keep the law equal 2PV=2nRT. So A has twice the pressure and temperature of partB. a) the temperature in A is twice the temperature in B.

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