The energy needed to increase the temperature of 650 g of vandium was 9555 J.The specific heat capacity of vandium is 490 J/kg°C.Calculate the temperature change that occurred._____ °CYou do not need to include units in your answer.
Question
The energy needed to increase the temperature of 650 g of vandium was 9555 J.The specific heat capacity of vandium is 490 J/kg°C.Calculate the temperature change that occurred._____ °CYou do not need to include units in your answer.
Solution
To calculate the temperature change, we can use the formula for heat transfer:
Q = mcΔT
where: Q = heat energy absorbed or released (in joules) m = mass (in kilograms) c = specific heat capacity (in joules per kilogram per degree Celsius) ΔT = change in temperature (in degrees Celsius)
We are given: Q = 9555 J m = 650 g = 0.65 kg (since 1 kg = 1000 g) c = 490 J/kg°C
We need to find ΔT. Rearranging the formula for ΔT gives us:
ΔT = Q / (mc)
Substituting the given values into this formula gives us:
ΔT = 9555 J / (0.65 kg * 490 J/kg°C) = 30 °C
So, the temperature change that occurred was 30 degrees Celsius.
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