If we heat a 10 g sample of gold and a 10 g sample of iron with 50 kJ of energy each, which will have the greatest change in temperature?
gold specific heat= 0.129J/g degC)
iron specific heat = (0.452 J/g degC)
Do them both.
q = mass metal x specific heat x delta T.
q iw 50,000
The smaller heat capacity increases more.
To determine which sample will have the greatest change in temperature, we need to calculate the change in temperature for each sample.
The formula to calculate the change in temperature is:
Change in temperature (ΔT) = Energy (Q) / (mass * specific heat)
Let's first calculate the change in temperature for the gold sample:
ΔT_gold = 50 kJ / (10 g * 0.129 J/g°C)
= 50,000 J / (1.29 J/°C)
= 38,759.69 °C
Now, let's calculate the change in temperature for the iron sample:
ΔT_iron = 50 kJ / (10 g * 0.452 J/g°C)
= 50,000 J / (4.52 J/°C)
= 11,061.95 °C
Comparing the two values, we can see that the gold sample will have a greater change in temperature than the iron sample. Therefore, the gold sample will have the greatest change in temperature.