Bissoy.com
Doctors Medicines MCQs Q&A

Pressure varies inversely with respect to volume and temperature varies directly with respect to volume. At a point, volume is 40 m3, temperature is 20 K, and pressure is 2 atm. If the volume is increased to 400 m3, while the pressure is constant, then what will be the resultant temperature?

Pressure varies inversely with respect to volume and temperature varies directly with respect to volume. At a point, volume is 40 m3, temperature is 20 K, and pressure is 2 atm. If the volume is increased to 400 m3, while the pressure is constant, then what will be the resultant temperature? Correct Answer 200 K

Since V (volume) varies directly with T (temperature) and inversely with P (pressure) .

We can take a constant k such as V = KT/P

Putting V = 40, T = 20 and P = 2 in above equation.

⇒ 40 = K × 20/2

⇒ K = 4

Now putting V = 400 and K = 4 and P = 2 in above equation.

⇒ 400 = 4 × T/2

⇒ T = 200 K

∴ When the volume is increased to 400 m3, then the temperature will be = 200 K

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.
Garima starts walking towards the south from point R. He walks for 5m to reach Point S then turns right and walks for 2m to reach point T from there he turns left and walks for 3m to reach Point Z. He then turns right from point Z and walks for 6m to reach point Y and then turns right and walks for 3m to reach point X. He then turns right from point X and walks for 4m to reach point W and then turns left and walks for 5m to reach point V and then turns left and walks for 4m till point U and stops. What is the shortest distance between point V and point R?
Point A is 3m in the north of point B. Point D is 2m in the east of point E. Point F is 9m in the west of point G. Point C is 4m in the west of point B. Point C is 3m in the south of point D. Point F is 5m in the south of point E. Point H is 5m in the north of point G. What is the shortest distance between point H and point A?
Consider the following statements: 1. If x is directly proportional to z and y is directly proportional to z, then (x2 - y2) is directly proportional to z2. 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z2. Which of the above statements is/are correct?
Point P is 4m in the west of point V. Point R is 6m in the north of point Q. Point T is 5m in the south of point S. Point V is in the middle of point R and Q. Point U is 5m in the east of point R. Point V is in north of point Q. Point S is 5m in the east of point V. What is the area of triangle formed by point P, R and Q?
Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. If point G is 4m to the north of Point H, then what is the distance between H and D?
Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. How far and in which direction is Point G from Point A?
For 5 moles of an ideal gas, Condition I: Pressure = 1 atm, Volume = 2 L, Temperature = 27 Degree Celsius Condition II: Pressure = P atm, Volume = V L, Temperature = T K. 5. If The Pressure and Volume in the II condition are 2 atm and 4 L, what is the temperature (T) of the gas?
The vapour pressure of a solid M varies with temperature T in K, as
In p(atm) = $$frac{{ - 33,200}}{T}$$ - 0.85 In T + 21.46
The vapour pressure of liquid M varies with temperature T, in K, as
In p (atm) $$frac{{ - 33,200}}{T}$$ = 0.85 In T + 20.31
The temperature of the triple point of M, in K is
Point A is 5m in the north of point B. Point D is 5m in the south of point C. Point E is 16m in the north of point F. Point D is 6m in the west of point G, which is the midpoint of line formed by E and F. Point D is 3m in the east of point B. What is the shortest distance between point D and point F?