States of Matter

The slope of an isochore (a line where volume does not change) for an ideal gas is given by ‌

dp

dT

=‌

nR

V

, where:
n= number of moles,R= gas constant,V= volume.
Here, the slope is 0.082atmK−1,n=1, and R=0.082Latmmol−1K−1.
Substitute the known values into the formula:
0.082=‌

1×0.082

V

Solve for V :
V=1L
Now, use the ideal gas equation: pV=nRT.
Substitute the values: p×1=1×0.082×12.2
Calculate the multiplication: 0.082×12.2=1.0004
So, p=1.0004atm. Round to nearest whole number: p=1atm