how much heat is needed to raise the temperature of 5kg of silver from 20 degrees C to 96 decgrees C?
Heat gain = Heat loss
(where 0.233) is the specific heat capacity of silver)
Heat gain = mc(T2 - T1)
= 5 x 0.233(96 - 20)
= 5 x 0.233 x 76
= 88.54j
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But just in case you want a real answer, the specific heat capacity of silver is 0.24 J/g°C. So first, we need to convert the mass of silver from kilograms to grams. That means we have 5,000 grams of silver.
To calculate the heat needed, we can use the formula:
Q = mcΔT
Where Q is the heat needed, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
Plugging in the values:
Q = 5000g * 0.24 J/g°C * (96°C - 20°C)
Now, I could do the math for you, but why take it so seriously when you can enjoy a corny joke instead? 😄
To calculate the amount of heat needed to raise the temperature of a substance, we can use the formula:
Q = m * c * ΔT
Where:
Q = Heat energy
m = Mass of the substance
c = Specific heat capacity of the substance
ΔT = Change in temperature
For silver:
The specific heat capacity of silver is approximately 0.24 J/g°C.
First, we need to convert the mass of silver from kilograms to grams:
5 kg = 5000 g
Now we can calculate the heat energy:
Q = (m * c * ΔT)
= (5000 g * 0.24 J/g°C * (96°C - 20°C))
= (5000 * 0.24 * 76)
≈ 91200 J
Therefore, approximately 91200 Joules (J) of heat energy is needed to raise the temperature of 5 kg of silver from 20°C to 96°C.
To calculate the amount of heat needed to raise the temperature of a substance, we can use the specific heat capacity formula:
Q = m * c * ΔT
Where:
Q is the amount of heat needed (in Joules),
m is the mass of the substance (in kilograms),
c is the specific heat capacity of the substance (in Joules per kilogram per degree Celsius),
ΔT is the change in temperature (in degrees Celsius).
For silver, the specific heat capacity is approximately 0.24 J/g°C, which is equivalent to 240 J/kg°C since there are 1000 grams in 1 kilogram.
Let's calculate the amount of heat needed:
Mass of silver (m) = 5 kg
Specific heat capacity of silver (c) = 240 J/kg°C
Change in temperature (ΔT) = 96 °C - 20 °C = 76 °C
Now we can substitute these values into the formula:
Q = 5 kg * 240 J/kg°C * 76 °C
Q = 91200 J
Therefore, to raise the temperature of 5 kg of silver from 20 °C to 96 °C, you would need approximately 91200 Joules of heat.