In: Chemistry
1. A sample of gaseous helium
is heated with an electrical coil. If 821 Joules
of energy are added to a 13.4 gram sample and the
final temperature is 35.7°C, what is the initial
temperature of the helium?
Answer: ____ °C.
2. A sample of solid platinum
is heated with an electrical coil. If 28.0 Joules
of energy are added to a 14.3 gram sample
initially at 23.0°C, what is the final temperature
of the platinum?
Answer: ____°C
3. What is the energy change when the temperature
of 13.4 grams
of gaseous helium is
decreased from 35.7 °C to 23.9
°C ?
Answer: ____ Joules
1.
The energy added to the sample is being used to increase the temperature of the sample of gaseous Heilum.
For a monoatomic gas like Helium, the specific heat at constant pressure is given by
The heat and specific heat are related to temperature change in the following way:
Given that
Amounht of substance = 13.4 gm
Molar mass of helium = 4 g/mol
hence, number of moles, n =
gas constant, R =
Now using the relation
hence, the initial temperature is
2.
Molar heat capacity Cp of solids is generally equal to 3R.
Hence, for platinum.
Now,
Given that
Molar mass of platinum = 195 gm/mol
Amount = 14.3 gm
hence, number of moles ,n =
Now uwing the relation
hence, the final temperature is
3.
Given that
For Helium
amount = 13.4 gm
Number of moles , n =
hence, using the relation
hence, the energy change is 821.63 Joules