Final answer:
TCS must be stored at temperatures below 120 °F (48.8 °C) to ensure the stability of its contents. If a can with gas at an initial temperature of 24 °C is left in a car that reaches 50 °C, the new pressure in the can can be calculated using the ideal gas law.
Step-by-step explanation:
TCS stands for Temperature Control System. The warning on the can to store it only at temperatures below 120 °F (48.8 °C) is because the contents of the can may be sensitive to high temperatures. By storing the can at temperatures below 120 °F (48.8 °C), the contents will remain stable and not be affected by heat.
In the given scenario, the initial temperature of the gas in the can is 24 °C. If the can is left in a car that reaches 50 °C on a hot day, the temperature inside the can will also increase to 50 °C. However, since the original temperature of the gas was 24 °C, the new pressure in the can can be calculated using the ideal gas law.
The ideal gas law equation is: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Using the ideal gas law, you can calculate the new pressure by rearranging the equation as: P2 = P1 * (V2/V1) * (T2/T1), where P1 and T1 are the initial pressure and temperature, respectively, and P2 and T2 are the new pressure and temperature, respectively. In this case, P1 = 360 kPa, V1 = 350 mL, T1 = 24 °C + 273.15 (to convert to Kelvin), and T2 = 50 °C + 273.15.
By substituting the values into the equation, you can calculate the new pressure in the can.