A balloon is filled with an ideal gas to a volume of 0.5 m^3 at 1 atm of pressur

Question

A balloon is filled with an ideal gas to a volume of 0.5 m^3 at 1 atm of pressure and 20 degree temperature. Doubling the temperature to 40 degree will have what effect on the balloon's volume if the pressure doesn't change? It will have no effect. The balloon will double in size. The balloon will increase in size slightly. The balloon will decrease in size slightly The balloon will decrease to half the size. The average kinetic energy of the molecules of an ideal gas at 10 degree C has the value K_10. At what temperature will the average kinetic energy of the same gas be half this value? 142 degree C 278 degree C 293 degree C -132 degree C 5 degree C A 1m aluminum bar expands 2.4mm when its temperature increases 100 degree C. How much would a 2m aluminum bar expand when it's temperature increases 100 degree C? 1.2mm 2.4mm 4.8mm cannot be determined without knowing the linear coefficient of expansion for aluminum An ideal gas is enclosed within a rigid chamber being held at 150 degree C whose volume is 0.035 m^3. Initially, the pressure in the gas is 1.65 atm. The chamber is removed from the heat source and allowed to cool until the pressure in the gas falls to 0.75 atm. At what temperature does this occur? -205 degree C -80.7 degree C 46.5 degree C 68.2 degree C 150 degree C 192.3 degree C 341degree

Explanation / Answer

1.

P1 = 1 atm = 1.01 x 105 pa

V1 = 0.5 m3

T1 = 20 C = 20 + 273 = 293 K

Pressure remains constant

V2 = ?

T2 = 40 C = 273 + 40 = 313 K

using the formula

V1/T1 = V2 /T2

0.5/293 = V2 /313

V2 = 0.534 m3

hence the Volume increase and hence the size of balloon increase.

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