Final answer:
To determine the required Celsius temperature rounded to the 10th of a degree that is required to change the volume of a gas sample, more information or context is needed. In general, the temperature can affect the volume of a gas sample based on the ideal gas law. The ideal gas law equation, PV=nRT, can be used to calculate the required temperature.
Step-by-step explanation:
To determine the Celsius temperature rounded to the 10th of a degree that is required to change the volume of a gas sample, we need more information or context. The question does not specify any specific conditions or factors that could affect the volume of the gas sample. In general, the temperature can affect the volume of a gas sample based on the ideal gas law, which states that as temperature increases, the volume of a gas sample also increases if other factors such as pressure and the number of moles of gas remain constant.
For example, if a gas sample has an initial volume of 34.8 L at an initial temperature of -67°C, and we want to change the volume to 25.0 L, we can use the ideal gas law to find the required temperature. The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.
- Convert the initial temperature (-67°C) to Kelvin by using the formula K = °C + 273.15. (K = -67 + 273.15 = 206.15 K)
- Plug in the values into the ideal gas law equation and solve for T:
25.0 L * P = n * R * T
25.0 L * P = (n * R) * T
T = (25.0 L * P) / (n * R) - Substitute the given values into the equation to find the temperature:
T = (25.0 L * P) / (n * R) = (25.0 L * P) / (n * 0.0821 L·atm/(mol·K))
NOTE: The value of P and the number of moles of gas (n) need to be known or provided to calculate the required temperature to change the volume of the gas sample.