An inflatable ball has a volume of 10.0 mL at a temperature of 10.0°C. If the temperature is raised to 30.0°C at constant pressure, what is the new volume of the ball?Multiple choice question.9.34 mL10.7 mL3.33 mL30.0 mL
Question
An inflatable ball has a volume of 10.0 mL at a temperature of 10.0°C. If the temperature is raised to 30.0°C at constant pressure, what is the new volume of the ball?Multiple choice question.9.34 mL10.7 mL3.33 mL30.0 mL
Solution
To solve this problem, we can use the formula for Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, as long as the pressure and the amount of gas remain constant. The formula is V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Step 1: Convert the temperatures from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = °C + 273.15. So, T1 = 10.0°C + 273.15 = 283.15 K and T2 = 30.0°C + 273.15 = 303.15 K.
Step 2: Substitute the known values into the formula. We know V1 = 10.0 mL, T1 = 283.15 K, and T2 = 303.15 K, and we're solving for V2. So, (10.0 mL / 283.15 K) = V2 / 303.15 K.
Step 3: Solve for V2. Cross-multiplying gives us V2 = (10.0 mL / 283.15 K) * 303.15 K = 10.7 mL.
So, the new volume of the ball when the temperature is raised to 30.0°C is 10.7 mL.
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