Question

a 40 litre of gas is stored under pressure of 150atm 300k how many moles of the gas are present in the cylinder ​

Answer 1

Given :

• Volume of the gas = 40 l
• Pressure = 150 atm
• Temperature = 300 K

To Find :

• Number of moles of gas present in the cylinder

Solution :

Using Ideal gas equation ,

$\\ \star \: {\boxed{\sf{\purple{PV = nRT}}}}$

Where ,

• P is pressure of the gas
• V is volume of the gas
• n is number of moles of the gas
• R is universal gas constant
• T is temperature

We have ,

• P = 150 atm
• V = 10 l
• R = 8.314 l.atm.mol⁻¹.K⁻¹
• T = 300 K
• n = (let n)

Substituting the values ,

$\\ :\implies \sf \: (150 )(10 ) = n(8.314)(300) \:$

$\\ : \implies \sf \: 1500 = 2494.2n$

$\\ : \implies \sf \: n = \dfrac{1500}{2494.2}$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{\: n = 0.6 \: mol}}}}} \: \bigstar$

Hence ,

• The number of moles of gas present in the cylinder are 0.6 mol.

Answer 2

PV=nRt.........mmmmmmm...