To calculate the unknown pressure P using the ideal gas law, identify the known values, rearrange the equation to solve for P, and substitute the values to find P in pascals or convert to atm.
To solve for the unknown pressure (P) in the given ideal gas law equation, you must use the formula PV = nRT, where P is pressure, V is volume, n is the amount of substance in moles, R is the ideal gas constant, and T is temperature (in Kelvins).
Step by Step Solution:
Identify the known values: Volume (V) = 0.602 liters, amount of substance (n) = 0.00801 moles, temperature (T) = 311 K, and the ideal gas constant (R) = 8.31 J/(mol·K).
Rearrange the ideal gas law to solve for the unknown pressure (P): P = №RT/V.
Substitute the known values into the rearranged equation and solve for P: P = (0.00801 mol) × (8.31 J/(mol·K)) × (311 K) / (0.602 L) to find P in units of pascals (Pa), which can then be converted to atm if necessary.
By plugging in the known values and performing the calculation, you will determine the unknown pressure P.