A chemist carefully measures the amount of heat needed to raise the temperature of a 119.0g sample of a pure substance from −5.2°C to 19.2°C. The experiment shows that 404.J of heat are needed. What can the chemist report for the specific heat capacity of the substance? Round your answer to 3 significant digits.
Question
A chemist carefully measures the amount of heat needed to raise the temperature of a 119.0g sample of a pure substance from −5.2°C to 19.2°C. The experiment shows that 404.J of heat are needed. What can the chemist report for the specific heat capacity of the substance? Round your answer to 3 significant digits.
Solution
The specific heat capacity (c) of a substance can be calculated using the formula:
q = mcΔT
where: q = heat energy absorbed or released (in joules) m = mass of the substance (in grams) c = specific heat capacity (in J/g°C) ΔT = change in temperature (in °C)
In this case, we know that: q = 404 J m = 119.0 g ΔT = 19.2°C - (-5.2°C) = 24.4°C
We can rearrange the formula to solve for c:
c = q / (mΔT)
Substituting the known values:
c = 404 J / (119.0 g * 24.4°C) = 1.38 J/g°C
So, the specific heat capacity of the substance is 1.38 J/g°C.
Similar Questions
rom −5.2°C to 19.2°C. The experiment shows that 404.J of heat are needed. What can the chemist report for the specific heat capacity of the substance? Round your answer to 3 significant digits.
The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The heat capacity of a certain substance has been measured to be 1.50J·g°C. Suppose 203.g of the substance are heated until the temperature of the sample has changed by 27.2°C.Write an equation that will let you calculate the heat Q that was needed for this temperature change. Your equation should contain only symbols. Be sure you define each symbol.
The equation below can be used to find the specific heat capacity of a substance. Work out the specific heat capacity of a substance if it takes 5,200J of energy to heat 2kg of it from 42°C to 47°C.
Calculate the amount of heat required to raise the temperature of 851.2 mL of a solution from 22.9 °C to 35.2 °C if the solution has a density of 1.04 g mL–1 and a heat capacity of 4.08 J K–1 g–1.
A 698 g sample of a substance increases in temperature by 2550C when 32,000 J of energy is added. What is the specific heat of the substance?Group of answer choices125 J/g ºC45.8 J/g ºC0.180 J/g ºC0.296 J/g ºC
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.