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Struggling with the following question - maths and physics never been my strongest subjects. Thanks in advance

**1. An equation of state that has been used to model the behaviour of a fixed amount of a real gas is:**

(P+a/v

In the equation Z, a, b are constants, and P represents pressure, V = volume, T = temp. The constant Z depends on the amount of gas.

Consider what the dimensions of a and b are in terms of the fundamental quantities of mass (M), length (l), and time (t).

(P+a/v

^{2})(v-b)=ZTIn the equation Z, a, b are constants, and P represents pressure, V = volume, T = temp. The constant Z depends on the amount of gas.

Consider what the dimensions of a and b are in terms of the fundamental quantities of mass (M), length (l), and time (t).

**2. Q1: The dimensions of b are:**

a) L3

b) L6

c) M.L-1.T-2

d) M-1.L.T2

Q2: The dimensions of a are:

a) L6

b) M.L5.T-2

c) M.L-1.T-2

d) M.L-5.T-1

Q3: The value of the constant Z could be expressed in terms of the unit:

a) W

b) W.N.s-1

c) N.J.K-1

d) J.K-1

a) L3

b) L6

c) M.L-1.T-2

d) M-1.L.T2

Q2: The dimensions of a are:

a) L6

b) M.L5.T-2

c) M.L-1.T-2

d) M.L-5.T-1

Q3: The value of the constant Z could be expressed in terms of the unit:

a) W

b) W.N.s-1

c) N.J.K-1

d) J.K-1

**3. According to std van der Waal's equantion Z is equivalent of R, therefore Q3 = D, not sure about the calculations for Q1 or Q2**

Any help would be greatly appreciated.

Thanks