GATE CH 2025 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

A probability distribution function is given as

where

is a positive constant. For a function

, the expectation of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A hot plate is placed in contact with a cold plate of a different thermal conductivity as shown in the figure. The initial temperature (at time

) of the hot plate and cold plate are

and

, respectively. Assume perfect contact between the plates.

Diagram for Chemical Engineering question 38

Which one of the following is an appropriate boundary condition at the surface S for solving the unsteady state, one-dimensional heat conduction equations for the hot plate and cold plate for

Your answerChoose one option.

Temperature at S is same for both the plates

Gradient of temperature at S is same for both the plates

Gradient of temperature vanishes at S

Temperature at S is the average of

and

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The first-order irreversible liquid phase reaction

occurs inside a constant volume (

) isothermal CSTR with the initial steady state conditions shown in the figure. The gain, in

, of the transfer function relating the reactor effluent

concentration,

, to the inlet flow rate,

, is

Diagram for Chemical Engineering question 39

Your answerChoose one option.

1.2

0.4

0.6

0.8

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2025 · Paper 1

Question 37

Question 38

Question 39