Which of the following shows the correct relationship between the pressure $^{'} P^{'}$ and density $ρ$ of an ideal gas at constant temperature ?

Question

Which of the following shows the correct relationship between the pressure -P- and density rho of an ideal gas constant temperature -

Toppr Admin · Accepted Answer

From ideal gas law-PV-nRTP-MnRTMV-M- Molecular mass number -xA0-But -x3C1-Mn-VP-x3C1-RT-MAt constant temperature- P-x221D-x3C1-Hence- the correct graph is -d-

Which of the following shows the correct relationship between the pressure ′P′ and density ρ of an ideal gas at constant temperature ?

From ideal gas law:PV=nRTP=MnRTMV,M: Molecular mass number But ρ=Mn/VP=ρRT/MAt constant temperature, P∝ρHence, the correct graph is (d).

Which of the following shows the correct relationship between the pressure $^{'} P^{'}$ and density $ρ$ of an ideal gas at constant temperature ?

From ideal gas law:
$P V = n R T$
$P = \frac{M n R T}{M V}, M :$ Molecular mass number
But $ρ = M n / V$
$P = ρ R T / M$

At constant temperature, $P \propto ρ$
Hence, the correct graph is (d).