Question

If an ideal gas occupies 563 mL at 20°C and 185 torr, what volume (in mL) will it occupy at 55°C and 479 torr?

Answer #1

We know that PV = nRT

Where

T = Temperature ;P = pressure ; n = No . of moles ;R = gas constant
; V= Volume of the gas

As the gas remains the same , n will constant

So PV / T = constant

Thereby PV/T = P'V'/T'

Where

P = initial pressure = 185 torr

V = initial volume = 563 mL

T = initial temperature = 20.0 oC = 20.0+273 = 293 K

P'= final pressure = 479 tott

V' = final volume = ?

T' = final temperature = 55oC= 55+273= 328 K

Plug the values we get V'=(PVT')/(TP')=243 mL

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