A 2.0L helium tank at a pressure of 15.0 kPa in a room kept at 22 degrees Celsius is used to blow up balloons....A 2.0L helium tank at a pressure of 15.0 kPa in a room kept at 22 degrees Celsius...

A 2.0L helium tank at a pressure of 15.0 kPa in a room kept at 22 degrees Celsius is used to blow up balloons....

A 2.0L helium tank at a pressure of 15.0 kPa in a room kept at 22 degrees Celsius is used to blow up balloons. The balloons, once blown up, have a volume of 2.0L and maintain pressure of .15kPa without breaking. The maximum number of balloons that can be filled with this tank is
A. 100
B. 130
C. 260
D. 380

Asked on by caramelo99

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

There is a helium tank which can withstand a pressure of 15 kPa and has a volume of 2 L. It is kept at a temperature of 22 degree Celsius. The balloons have a capacity of 2 L and can withstand 0.15 kPa without exploding. We need to determine the maximum number of balloons that can be blown using the gas in the tank.

We can apply the Ideal Gas Law to solve this problem. The law gives the relation : P*V = n*R*T , where P is the pressure, V is the volume, n is the amount of substance, R is the gas constant and T is the temperature.

I assume the temperature of the gas does not change when it is filled into the balloons.

The maximum pressure that the balloon can withstand is 0.15 kPa and it has the same volume as that of the tank. The reduction in pressure increases the volume of the gas. When the pressure becomes 1/100, the volume becomes 100 times.

Therefore the gas can be used to fill 100 balloons. The correct option is A.

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