You have a given amount of gas in a flexible box (flexible meaning that it can c

Question

You have a given amount of gas in a flexible box (flexible meaning that it can change volume without leaking gas) with initial temperature T, volume V and pressure p. You place the box on a heater, raising its temperature from T to 4T. Which of the following could not occur?

You have a given amount of gas in a flexible box (flexible meaning that it can change volume without leaking gas) with initial temperature T. volume V and pressure D. You place the box on a heater, raising its temperature from T to 4T. Which of the following could not occur? The volume increases to 4V The pressure increases to 4p o The volume and pressure both increase by factor of about 2.00 The volume increases to 16 while the pressure drops to pl The pressure decreases to 1 while the volume increases to 4V/4

Explanation / Answer

Gas always takes entire volume of confined space ( in this case Box). So when you increase temperature, gas pressure increases while volume remains the same.

case 1: P1*V =n*R*T --------------------1)

as the no. of moles of gas are confined in the box, n =constant

case 2: P2*V2 = n*R*T2

=> P2*V = n*R*4*T -----------------2)

dividing equation 2 with 1

=> P2 = 4*P1

2nd option only is correct

Another Explanation:

From kinetic theory of gases, gas particle takes entire volume and collide with walls. When temperature is increased, frequency of collision with walls increases which leads to increase in P

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