Question

An ideal gas sample with 7.20atm pressure occupies 250ml volume at 18C .what volume would it occupy at 1.50atm and 216C? answer Convert( L )
please show all work calculations
and formula:)

Answer 1

An ideal gas sample with 7.20atm pressure occupies 250mL volume at 18°C. What volume would it occupy at 1.50atm and 216°C?

First, we need to calculate how many moles of the gas sample are present given the initial conditions:

P = 7.20atm

V = 0.25L

T = 18°C + 273 = 291K

R = 0.0821 L*atm/mol*K

Use the ideal gas formula and solve for n (moles):

PV = nRT

n = PV/RT

n = (7.20atm)(0.25L) / (0.0821L*atm/mol*K)(291K)

n = 0.07534 mol

Given those moles, now let's gather the information for the problem conditions:

n = 0.07534 mol

P = 1.50 atm

T = 216°C + 273 = 489K

R = 0.0821 L*atm/mol*K

Use the ideal gas formula and solve for V (volume):

PV = nRT

V = nRT/P

V = 0.07534mol(0.0821L*atm/mol*K)(489K) / (1.50atm)

V = 2.016L

So, the gas would occupy a volume of 2.016L