Your friend comes across a good deal to purchase a gold ring. She asks you for advice for you to test the ring. The ring has a mass of 4.54 g. When you heat the ring with 94.8 J of energy, its temperature rises from 23.0 degrees celsius to 47.5 degrees celsius. Would you advise your friend that she is getting a good deal? Explain. The specific heat capacity of gold is 0.1291 J/g degrees celsius

q = mass ring x specific heat ring x (Tfinal-Tintial)

You know q, mass ring, Tf and Ti. Solve for specific heat.

14.223 j

To determine whether your friend is getting a good deal on the gold ring, we can use the heat equation, which is given by:

Q = mcΔT

Where:
Q = heat energy (in joules)
m = mass of the object (in grams)
c = specific heat capacity of the material (in J/g degrees Celsius)
ΔT = change in temperature (in degrees Celsius)

Given data:
Mass of the gold ring (m) = 4.54 g
Change in temperature (ΔT) = 47.5°C - 23.0°C = 24.5°C
Specific heat capacity of gold (c) = 0.1291 J/g°C

Plugging in the values, we can find the amount of heat energy required to raise the temperature of the gold ring by 24.5°C:

Q = (4.54 g) * (0.1291 J/g°C) * (24.5°C)
Q = 14.0195 J

The amount of heat energy required to raise the temperature of the gold ring is 14.0195 J.

Now, we compare this to the amount of energy that was used to heat the ring, which is stated as 94.8 J. Since the actual energy used to heat the ring (94.8 J) is significantly higher than the calculated value (14.0195 J), it indicates that the ring is likely not made purely of gold.

In conclusion, based on the given information, it seems unlikely that your friend is getting a good deal on the gold ring since the actual energy required to raise the temperature does not match the energy used. It is possible that the ring is not made entirely of gold or may have impurities mixed in.

To determine whether your friend is getting a good deal, we need to calculate the specific heat capacity of the ring and compare it to the known value for gold.

First, let's calculate the change in temperature:

ΔT = T2 - T1
ΔT = 47.5°C - 23.0°C
ΔT = 24.5°C

Next, we can calculate the heat transferred to the ring:

q = m * c * ΔT

Where:
q = heat transferred (in Joules)
m = mass of ring (in grams)
c = specific heat capacity of gold (in J/g degrees celsius)
ΔT = change in temperature (in degrees celsius)

Plugging in the values:

q = 4.54 g * 0.1291 J/g°C * 24.5°C
q ≈ 14.83 J

Now, we have determined that 94.8 J of energy was used to heat the ring, but the actual heat transferred to the ring is only 14.83 J. This means that the ring absorbed only a fraction of the energy applied to it.

Since the ring did not fully absorb the energy, it suggests that the ring might not be made of pure gold. Pure gold has a specific heat capacity of 0.1291 J/g°C. If it were made of pure gold, it should have absorbed all of the energy applied, resulting in a corresponding increase in temperature.

Based on this information, it is likely that your friend is not getting a good deal. It's possible that the ring may contain a lower amount of gold or may be an alloy. You might want to advise your friend to proceed with caution and investigate the ring's authenticity and value further.