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
your temperature increase -or decrease- is given by the specific heat (S) of the object.
(s)pecific heat = (new temp)/mass*change in temp.
or if youre crazy,
calculate the actual change in temp = heat added/(mass x specific heat)
and compare it to actual (known) heat capacity of gold
To determine whether your friend is getting a good deal on the gold ring, we need to calculate the change in temperature using the given information and compare it to the actual price of gold.
First, we need to find the heat absorbed by the gold ring using the formula:
Q = m * c * ΔT
Where:
Q is the heat absorbed (in Joules)
m is the mass of the gold ring (in grams)
c is the specific heat capacity of gold (in J/g degrees Celsius)
ΔT is the change in temperature (in degrees Celsius)
Given:
m = 4.54 g (mass of the ring)
c = 0.1291 J/g degrees Celsius (specific heat capacity)
ΔT = 47.5°C - 23.0°C = 24.5°C (change in temperature)
Now we can substitute the values into the formula:
Q = 4.54 g * 0.1291 J/g degrees Celsius * 24.5°C
Calculating this gives us:
Q = 14.1274 J
So, the heat absorbed by the gold ring is approximately 14.1274 J.
Now, let's consider the price of gold. Gold is typically sold based on its weight, and its price per gram can vary. You can check the current market price of gold per gram from reliable sources such as financial news websites or market data providers.
Once you know the current price per gram of gold, you can multiply it by the mass of the gold ring to estimate its value.
By comparing the estimated value of the gold ring based on its weight with the price being offered, you can determine whether it's a good deal or not. If the estimated value is significantly higher than the price being asked, then your friend might be getting a good deal.
Note that additional factors like the ring's design, condition, and any gemstones it may have can also affect its value, so it's important to consider those aspects as well.