a sliver coin and a gold coin each have a mass of exactly 6.6 grams the specific heat of sliver is 0.235j/g.degrees celcius and the specific heat of gold his 0.130j/g. degrees celcius what coin requires more heat to raise its tempreature by 40 degrees celcius
Note the correct spelling of celsius.
q = mass x specific heat x delta T.
Calculate q to raise both by 40 C.
Silver
To determine which coin requires more heat to raise its temperature by 40 degrees Celsius, we can use the formula:
Q = m * c * ΔT
Where:
- Q is the amount of heat required
- m is the mass of the coin
- c is the specific heat capacity of the material
- ΔT is the change in temperature
For the silver coin:
Q_silver = m * c_silver * ΔT = 6.6g * 0.235J/g.degC * 40degC
Q_silver = 98.4 Joules
For the gold coin:
Q_gold = m * c_gold * ΔT = 6.6g * 0.130J/g.degC * 40degC
Q_gold = 34.56 Joules
Comparing the two values, we can see that the silver coin requires more heat to raise its temperature by 40 degrees Celsius, as it has a higher value of Q (98.4 J) compared to the gold coin (34.56 J).
To determine which coin requires more heat to raise its temperature by 40 degrees Celsius, we need to compare the heat capacities of silver and gold coins.
Heat capacity (C) is given by the equation:
C = mass × specific heat
For the silver coin, we have:
Mass of silver coin = 6.6 grams
Specific heat of silver = 0.235 J/g.°C
Therefore, the heat capacity (Cs) of the silver coin is:
Cs = 6.6 g × 0.235 J/g.°C
For the gold coin, we have:
Mass of gold coin = 6.6 grams
Specific heat of gold = 0.130 J/g.°C
Therefore, the heat capacity (Cg) of the gold coin is:
Cg = 6.6 g × 0.130 J/g.°C
Now we can calculate the heat required to raise the temperature of each coin by 40 degrees Celsius.
For the silver coin:
Heat required (Qs) = Cs × ΔT
where ΔT is the change in temperature.
Qs = Cs × 40°C
= 6.6 g × 0.235 J/g.°C × 40°C
For the gold coin:
Heat required (Qg) = Cg × ΔT
where ΔT is the change in temperature.
Qg = Cg × 40°C
= 6.6 g × 0.130 J/g.°C × 40°C
Now, calculate Qs and Qg to find out which coin requires more heat.
Qs = 6.6 g × 0.235 J/g.°C × 40°C
= 62.16 J
Qg = 6.6 g × 0.130 J/g.°C × 40°C
= 34.32 J
Comparing the values, we see that the silver coin requires more heat to raise its temperature by 40 degrees Celsius (62.16 J) than the gold coin (34.32 J).