Question

ideal gases are kept in three separate bottles A, B, C, each having the same volume and temperature. if bottle A has pressure= 1 atm, bottle b has pressure = 2 atm, bottle C has pressure= 3 atm, which bottle has the largest moles of gas ?

Answer 1

Answer –

Three bottles A, B and C and all three have same volume and temperature, means volume and temperature are constant.

We know at constant volume and temperature the pressure is directly proportional to number of moles of ideal gas.

So as the pressure increase the number of moles increase, example –In the given three bottle assume 1 L volume and temperature, T = 298 K

Lets calculate the moles in each bottle

So for A bottle moles –

PV = nRT

n = PV/RT

n = 1 atm *1 L / 0.0821 L.atm.mol^-1.K^-1 * 298 K

      = 0.0409 moles

So for B bottle moles –

PV = nRT

n = PV/RT

n = 2 atm *1 L / 0.0821 L.atm.mol^-1.K^-1 * 298 K

      = 0.0817 moles

So for C bottle moles –

PV = nRT

n = PV/RT

n = 3 atm *1 L / 0.0821 L.atm.mol^-1.K^-1 * 298 K

      = 0.123 moles

So C bottle has the largest moles of gas, because it has largest pressure than A and B.