Which of the following samples has the highest specific heat capacity?
a) A 100 kg sample of lead requires 13 000 J to increase its temperature by 1 K
b) A 50 g sample of water releases 1050 J as it cools by 5 degree Celsius
c) A 2 kg sample of copper receives 2340 J of thermal energy as it heats up from 20 degree Celsius to 23 degree Celsius
d) All of the samples above have the same specific heat
e) It is impossible to compare the specific heat of the materials from the information given
specific heat=heat/(mass*deltaTemp)
a. c=13000/100*1= 130J/kg*K
b. c=1050/.050*5=1050/.25=4000J/kg*K
c. c=2340/2*3=amost 400J/kgK
check my work.
i think that it is right
To determine which sample has the highest specific heat capacity, we need to compare the amount of thermal energy transferred to each sample per unit mass and per degree change in temperature.
a) The lead sample has a mass of 100 kg and requires 13,000 J to increase its temperature by 1 K. Therefore, the thermal energy transferred per unit mass per degree change in temperature is 13,000 J / (100 kg * 1 K) = 130 J/(kg·K).
b) The water sample has a mass of 50 g (0.05 kg) and releases 1050 J as it cools by 5 degrees Celsius. Therefore, the thermal energy transferred per unit mass per degree change in temperature is 1050 J / (0.05 kg * 5 K) = 420 J/(kg·K).
c) The copper sample has a mass of 2 kg and receives 2340 J of thermal energy as it heats up from 20 degrees Celsius to 23 degrees Celsius. Therefore, the thermal energy transferred per unit mass per degree change in temperature is 2340 J / (2 kg * 3 K) = 390 J/(kg·K).
By comparing the values we calculated, we can see that:
- The lead sample has a specific heat capacity of 130 J/(kg·K),
- The water sample has a specific heat capacity of 420 J/(kg·K),
- The copper sample has a specific heat capacity of 390 J/(kg·K),
Therefore, the correct answer is: b) A 50 g sample of water releases 1050 J as it cools by 5 degrees Celsius, which has the highest specific heat capacity among the given samples.
To determine which sample has the highest specific heat capacity, we need to examine the amount of energy (in joules) required or released to change the temperature of each substance.
a) For the 100 kg sample of lead, it requires 13,000 J to increase its temperature by 1 K.
b) For the 50 g sample of water, it releases 1,050 J as it cools by 5 degrees Celsius. It is important to note that the specific heat capacity is the amount of energy needed or released per unit mass.
c) For the 2 kg sample of copper, it receives 2,340 J of thermal energy as it heats up from 20 degrees Celsius to 23 degrees Celsius.
d) The statement "All of the samples above have the same specific heat" suggests that all the samples have the same specific heat capacity. If this statement is true, then we can conclude that the specific heat capacities of each sample are equal.
e) Without any further information, it is indeed impossible to compare the specific heat capacities of the materials given.
Therefore, based on the information provided, we cannot determine with certainty which sample has the highest specific heat capacity.