Question
Compute (a) the number of moles and (b) the number of molecules in $1.00 \mathrm{~cm}^3$ of an ideal gas at a pressure of $100 \mathrm{~Pa}$ and a temperature of $220 \mathrm{~K}$.
Step 1
314 \, \text{J/(mol·K)} \)), - \( T \) is the temperature in kelvins (K). Show more…
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(a) Calculate the volume occupied by $1.00 \mathrm{~mol}$ of an ideal gas at standard conditions - that is, pressure of $1.00 \mathrm{~atm}$ $\left(=1.01 \times 10^{5} \mathrm{~Pa}\right)$ and temperature of $0^{\circ} \mathrm{C}(=273 \mathrm{~K}) \cdot(b)$ Show that the number of molecules per cubic centimeter (the Loschmidt number) at standard conditions is $2.68 \times 10^{19}$.
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