Chemistry

Chemistry

Problem

Molar volume is commonly quoted as 22.4 L22.4\,\text{L} at STP (0∘C0^{\circ}\text{C} and 1 atm1\,\text{atm}). a. (a) State the numerical values of standard temperature and standard pressure used in this definition. b. (b) Explain qualitatively why the molar volume of an ideal gas changes when either the chosen standard temperature or standard pressure is altered. c. (c) Calculate the molar volume of an ideal gas at 25∘C25^{\circ}\text{C} and 1 bar1\,\text{bar} (1 bar=1.00×105 Pa1\,\text{bar}=1.00\times10^{5}\,\text{Pa}).
Intuitive explanation

The molar volume is really just the ideal gas law rearranged to show how much space one mole of gas occupies under specific conditions. At STP, you're given fixed pressure and temperature, so you can plug those values directly into PV=nRTPV = nRT and solve for V/nV/n—that ratio is your molar volume. This number is a handy shortcut: once you know it, you can convert between moles and liters without recalculating the gas law every time.

Intuitive explanation

The molar volume is really just the ideal gas law rearranged to show how much space one mole of gas occupies under specific conditions. At STP, you're given fixed pressure and temperature, so you can plug those values directly into PV=nRTPV = nRT and solve for V/nV/n—that ratio is your molar volume. This number is a handy shortcut: once you know it, you can convert between moles and liters without recalculating the gas law every time.

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