Question
What are the units of $P \Delta V$ if pressure is expressed in pascals and volume is expressed in cubic meters?
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Pressure is expressed in pascals (Pa) and volume is expressed in cubic meters (m³). Show more…
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Verify that the SI units of $P V$ (pressure times volume) are joules.
If pressure is expressed in atmospheres and volume is expressed in liters, $P \Delta V$ has units of $L$ atm (liters $x$ atmospheres). In Chapter 11 you learned that 1 atm $=$ $101,325 \mathrm{~Pa}$, and in Chapter 2 you learned that $1 \mathrm{~L}=$ $1 \mathrm{dm}^{3}$. Use this information to determine the number of joules corresponding to $1 \mathrm{~L}$ atm.
If pressure is expressed in atmospheres and volume is expressed in liters, $P \Delta V$ has units of $L$ atm (liters $x$ atmospheres). In Chapter 10 you learned that 1 atm $=$ $101,325 \mathrm{~Pa}$, and in Chapter 1 you learned that $1 \mathrm{~L}=$ $1 \mathrm{dm}^{3}$. Use this information to determine the number of joules corresponding to $1 \mathrm{~L}$ atm.
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