What change in pressure occurs in a party balloon that is squeezed to one-third its volume with no change in temperature?

Solution 1P Introduction We will use the ideal gas equation to solve the problem. Solution Step 1 The ideal gas equation is PV = nRT Here P is the pressure, V is the volume, n is the mole, R is the ideal gas constant and T is the absolute temperature. Now in this case, the temperature and the mole of the gas remains constant. Hence all the term in the right hand side is a constant, so we can write PV = constant P i =iP V f f P i V ari the initial pressure and volume of the gas. P and V f f are the final pressure and volume of the gas. Step 2 Vi Now according to given problem, we have V = f 3 . Using this value into the above equation, we have P V P V P = i i = i i = 3P f V f (Vi/3) i So the final pressure of the gas will be P = 3P . f i