Answer :
Final answer:
Using the combined gas law, the new pressure of a gas sample that is compressed and heated from STP is computed, resulting in a final pressure of 113.8 kPa.
Explanation:
The question is asking for the new pressure of a gas when its initial volume and temperature are changed. To solve this type of problem, we would typically use the ideal gas law, which is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. However, since the number of moles and the gas constant (R) remain constant, we can use the combined gas law which is (P1 \\* V1) / T1 = (P2 \\* V2) / T2, where the subscripts 1 and 2 refer to initial and final conditions respectively.
To apply this equation, we need to convert all the temperatures to Kelvin by adding 273.15 to the Celsius values. The initial temperature at STP is 0 degrees C, which is 273.15 K, and the final temperature of 30 degrees C is 303.15 K.
Using the combined gas law and rearranging for the final pressure (P2), we get:
P2 = (P1 \\* V1 \\* T2) / (V2 \\* T1)
Substituting the given values into the equation:
P2 = (100 kPa \\* 700.0 mL \\* 303.15 K) / (200.0 mL \\* 273.15 K)
After doing the math, we find the answer to be 113.8 kPa.
