Physics, asked by RashmithaD, 11 months ago

derive expression for alpha v =1\T​

Answers

Answered by wwwTASC2552
1

Answer:

Explanation:

we know, according to Charles's law

at constant pressure and constant number of moles , volume of gas is directly proportional to the temperature of gas .

e.g., V α T

⇒ V = kT , where k is proportionality constant .

T is in Kelvin , but when we use the temperature in °C then T = t + 273 where T is temperature in °C .

now, V = k(t + 273)

at t = 0, V₀ = k × 273 ⇒ K = V₀/273

now, V = V₀/273( t + 273) = V₀(1 + t/273)

Let , α = 1/273 { α is known as temperature coefficient }

V = V₀( 1 + αt )

⇒V/V₀ = 1 + αt

⇒(V - V₀ )/V₀ = αt

⇒V₀α = (V - V₀)/t

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