1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ipatiy [6.2K]
2 years ago
13

The heat capacity of object B is twice that of object A. Initially A is at 300 K and B at 450 K. They are placed in thermal cont

act and the combination is thermally insulated. The final temperature of both objects is
Physics
1 answer:
ivann1987 [24]2 years ago
4 0

Answer:

The final temperature of both objects is 400 K

Explanation:

The quantity of heat transferred per unit mass is given by;

Q = cΔT

where;

c is the specific heat capacity

ΔT is the change in temperature

The heat transferred by the  object A per unit mass is given by;

Q(A) = caΔT

where;

ca is the specific heat capacity of object A

The heat transferred by the  object B per unit mass is given by;

Q(B) = cbΔT

where;

cb is the specific heat capacity of object B

The heat lost by object B is equal to heat gained by object A

Q(A) = -Q(B)

But heat capacity of object B is twice that of object A

The final temperature of the two objects is given by

T_2 = \frac{C_aT_a + C_bT_b}{C_a + C_b}

But heat capacity of object B is twice that of object A

T_2 = \frac{C_aT_a + C_bT_b}{C_a + C_b} \\\\T_2 = \frac{C_aT_a + 2C_aT_b}{C_a + 2C_a}\\\\T_2 = \frac{c_a(T_a + 2T_b)}{3C_a} \\\\T_2 = \frac{T_a + 2T_b}{3}\\\\T_2 = \frac{300 + (2*450)}{3}\\\\T_2 = 400 \ K

Therefore, the final temperature of both objects is 400 K.

You might be interested in
A 60 kilogram astronaut weighs 96 newtons on the surface of the moon. calculate the acceleration due to gravity on the moon.
34kurt
Given: Mass m = 60 Kg

           Weight  W = 96 N

Required: Acceleration due to gravity, g = ?

Formula:  W = mg

                g = W/g

                g = 96 Kg.m/s²/60 Kg   (note: this is the derive unit for Newton "N")

                g = 1.6 m/s²

6 0
2 years ago
Read 2 more answers
Why do we need landforms
Vera_Pavlovna [14]
To understand processes responsible for formation of different landforms in the past as well as present. To have scientific landuse for present and future. 
5 0
3 years ago
Read 2 more answers
Which of the following is an example of a homogeneous mixture?
Law Incorporation [45]
A. Bronze is a mixture because it is composed of two different materials and homogenous because it has the same composition throughout.
3 0
3 years ago
What is the slope of this blue line
blondinia [14]

Gradient of the line is m =-2/5

6 0
2 years ago
Under which conditions do both convex and concave mirrors form virtual images? State whether or not each can form a real image.I
natali 33 [55]
Concave mirror​s can make a real image.when the object is away from the mirror it is called real image and when the object is closer to the mirror it is called virtual mirror.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Cranium and facial bones compose the
    13·1 answer
  • What weather would create the best surfing waves
    6·2 answers
  • 33 POINTS How can I get the temperature? SOUND SPEED 340 m/s = 331 m/s + (0,6xTemperature)
    14·1 answer
  • On the New York seismogram, the first P wave was recorded at 9:01 UTC. UTC is the international standard on which most countries
    5·1 answer
  • The velocity of sound in air at 300C is approximately :
    11·1 answer
  • Which of the following accurately describes the differences between the SI and English systems of measurement?
    15·2 answers
  • What property of an electromagnetic wave changes when the wave is encoded with analog information?
    9·1 answer
  • HELP PLEASE!!!!!!!
    9·2 answers
  • A 55-kg block, starting from rest, is pushed a distance of 5.0 m across a floor by a horizontal force Fp whose magnitude is 140
    8·1 answer
  • A student pushes against a wall with a force of 30N. The wall does not move. What amount of force does the wall exert on the stu
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!