Calculating Specific Heat Capacity & Heat Measurement of HCl

[brianna-chan]

What is the specific heat capacity of HCl when given the following information:
Volume: 50mL
Initial Temp: 20 *C
Final Temp: 26* C
What is the heat measurement in Joules as well?

What is the specific heat capacity of HCl when given the following information:
Volume: 100mL
Initial Temp: 20 *C
Final Temp: 31* C
What is the heat measurement in Joules as well?

Thank you!

 

[physixguru]

Write an equation for specific heat capacity for a substance.

 

[Blueshift5]

I would approach this question by utilizing the formula for specific heat capacity, which is Q = mcΔT, where Q is the heat measurement in Joules, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. In this case, we are given the volume (which can be converted to mass using the density of HCl), the initial and final temperatures, and we can assume that the density and specific heat capacity of HCl are constant.

For the first set of data, with a volume of 50mL, we can calculate the mass of HCl by multiplying the volume by its density. Assuming a density of 1.19 g/mL for HCl, the mass of HCl is 59.5 grams. Plugging in the values into the formula, we get Q = (59.5g)(4.184J/g*C)(6*C) = 1490.4 J.

For the second set of data, with a volume of 100mL, we can calculate the mass of HCl to be 119 grams. Using the same formula, we get Q = (119g)(4.184J/g*C)(11*C) = 5226.4 J.

Therefore, the specific heat capacity of HCl is the same in both cases, as it is a constant property of the substance. It can be calculated by rearranging the formula to c = Q/mΔT. In both cases, the specific heat capacity of HCl is approximately 4.184 J/g*C.

In terms of the heat measurement in Joules, the first set of data has a heat measurement of 1490.4 J and the second set has a heat measurement of 5226.4 J. This is because the second set of data has a larger change in temperature, resulting in a larger amount of heat being required to raise the temperature of the substance.

Overall, the specific heat capacity of HCl is an important factor to consider in heat calculations and can be used to determine the amount of heat required to raise the temperature of a given amount of HCl.