Final answer:
The question seems to be about calculating moles of gas at standard temperature and pressure (STP) rather than vacancies in a solid. To find moles in a cubic meter of gas at STP, we can use the ideal gas law, but the specific calculation requires details on the gas in question. Using the ideal gas law with standard values at STP will yield the number of moles per cubic meter.
Step-by-step explanation:
To calculate the number of vacancies per cubic meter, we can use the information given about calculating moles of gas at standard temperature and pressure (STP). However, the term 'vacancies' typically refers to empty lattice sites in a solid material, and these are not equivalent to the concept of moles of a gas. Since the question appears to be about gases, we'll focus on the molar calculations.
To find the number of moles per cubic meter of gas at STP, we use the ideal gas law formula PV = nRT, which relates pressure (P), volume (V), number of moles (n), gas constant (R), and temperature (T). At STP, the volume V is 1.00 m3, the pressure P is 1.00 atm (or 1.00 × 105 Pa in SI units), and the temperature T is 273 K. Using the SI unit value for the gas constant R, which is 8.31 J/mol·K, we can solve for n, the number of moles of gas. The calculation would typically proceed with n = PV / RT.
However, to provide an exact answer, we would need the specific details for the gas in question, as the example only provides the general procedure. In practice, you would simply plug in the values into the ideal gas law equation to get the number of moles per cubic meter at STP.