Final answer:
To find the temperature of the gas at the given volume and pressure, we first calculate the moles of gas at STP, then apply the ideal gas law to determine the new temperature in Kelvin.
Step-by-step explanation:
The question involves a calculation based on the ideal gas law to determine the temperature of a gas when volume, pressure, and amount are known. Since the volume of the gas at STP is given (1.246 liters), we can use the standard conditions for STP (273.15 K and 1 atm) to find the number of moles of the gas (using the standard molar volume). With the new conditions provided (1.410 L and 1.071 atm), the ideal gas law (PV=nRT) can be utilized to solve for the new temperature, T.
Firstly, we calculate the moles of gas at STP using:
VSTP / 22.4 L/mol = n
Then, we apply the ideal gas law rearranged to solve for T:
T = (P2 × V2) / (n × R)
With all necessary values, the calculation will give us the temperature in Kelvin. Remember that R is the ideal gas constant (0.0821 L·atm/(mol·K)) and we should ensure that the pressure is in atmospheres when performing the calculation.