# Chapter 10 - Gases - Exercises: 10.26a

2.69 L

#### Work Step by Step

We start with the gas law PV = nRT Since we have a fixed quantity, we know that n is constant and R is the gas constant so we have: 21C and 752 torr occupies 5.12L. First we convert the 21C to K by adding 273, which is 294 K. R is 0.0821 L*atm/mol K so we convert the 752 torr to atm. This is: 752 torr * (1atm/ 760 torr) = 0.989 atm Then we find the number of moles: n = PV/RT = (0.989 atm) * (5.12L) / (0.0821 * 294K) = 0.2099 moles When the pressure is increased to 1.88 atm and the temp is held constant we have: V = nRT/V = (0.2099 moles * 0.0821 * 294)/1.88 atm = 2.69 L

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