Ideal Gas Pressure: Solve Physics HW

[DrMcDreamy]

Homework Statement

This is for my physics homework and I haven't done gen chem in a while so I was wondering if this was right:

One mole of an ideal gas at 0◦C is held at a constant volume of 94 liter. Find the change in pressure if the temperature increases by 61◦C. Answer in units of atm.

Homework Equations

PV=nRT

The Attempt at a Solution

#1:
P₁=?
V= 94 L
n= 1 mole
R= 0.0821 L atm / mol K
T₁= 273.15 K

#2:
P₂= ?
V= 94 L
n= 1 mole
R= 0.0821 L atm / mol K
T₂= 334.15 K

Work:

#1:
P₁ = $$\frac{nRT}{V}$$ = $$\frac{0.0821 x 1 x 273.15}{94}$$ = 0.238570372 atm

#2:
P₂ = $$\frac{nRT}{V}$$ = $$\frac{0.0821 x 1 x 334.15}{94}$$ = 0.291848301 atm

change in pressure = P₂-P₁ = 0.291848301 - 0.238570372 = 0.053277659 atm

Is that right? TIA

 

[Borek]

In general yes, although you abuse significant digits. They are not treated seriously in physics (after all, they are just a poor relative of the real accuracy), but listing nine digits when you are given only two for value doesn't make sense.

 

[DrMcDreamy]

In general yes, although you abuse significant digits. They are not treated seriously in physics (after all, they are just a poor relative of the real accuracy), but listing nine digits when you are given only two for value doesn't make sense.

Thank you, oh I know the digits are long, I plan to answer it as: .0533 atm