Final answer:
To calculate the number of moles present in a certain amount of gas, use the ideal gas law equation PV = nRT. Plug in the given values and solve for n.
number of moles of gas present = 1.70 moles .
Step-by-step explanation:
To calculate the number of moles present in a certain amount of gas, we can use the ideal gas law equation: PV = nRT. In this equation, P represents the pressure, V represents the volume, n represents the number of moles, R represents the gas constant, and T represents the temperature. We are given the pressure, volume, and temperature, so we can rearrange the equation to solve for n:
n = PV / (RT)
Plugging in the given values, n = (2 atm)(5.0 dm³) / (0.082 L·atm/mol·K)(10⁰C + 273) = 1.70 moles. Therefore, there are 1.70 moles of gas present.