Calculate the number of tablets Ethel has to receive for a complete course of promethazine 12.5mg bd for 3…

Question

Calculate the number of tablets Ethel has to receive for a complete course of promethazine 12.5mg bd for 3 days, given that the stock available is 25mg tablets.

ScanSolve AI Tutor · Accepted Answer

Q(a) Step 1: Formula for amount of drug remaining. A = A₀ ( 1/2 )^(t / t1/2); Step 2: Substitute given values (A₀ = 12 mg, t = 5 h, t1/2 = 10 h). A = 12 ( 1/2 )^(5/10) Step 3: Simplify exponent. A = 12 ( 1/2 )^(0.5) = 12 × 2^(−0.5); Step 4: Calculate 2^(0.5) = √(2) ≈ 1.414. 2^(−0.5) = 1/1.414 ≈ 0.707 Step 5: Multiply. A ≈ 12 × 0.707 = 8.5 mg Final answer: 8.5 mg Q(b) Step 1: Formula for mass of insulin. m = U/c; where U is units, c = 28.8 units/mg. Step 2: Substitute U = 35 units. m = 35/28.8 Step 3: Divide. 28.8 × 1.2 = 34.56; 35 − 34.56 = 0.44 0.44 / 28.8 ≈ 0.015 m ≈ 1.2 + 0.015 = 1.22 mg Final answer: 1.22 mg Q(c) Step 1: Number of doses per day. 24 h6 h/dose = 4 doses/day Step 2: Tablets per dose (500 mg dose, 500 mg/tablet). 1 tablet/dose Step 3: Total tablets per day. 4 doses/day × 1 tablet/dose = 4 tablets/day Final answer: 4 tablets/day

Calculate the number of tablets Ethel has to receive for a complete course of promethazine 12.5mg bd for 3 days, given that the stock available is 25mg tablets.

Step-by-step solution

Formula for amount of drug remaining.

Substitute given values ( $A_0 = 12$ mg, $t = 5$ h, $t_{1/2} = 10$ h).

Simplify exponent.

Calculate $2^{0.5} = \sqrt{2} \approx 1.414$ .

Multiply.

Formula for mass of insulin.

Substitute $U = 35$ units.

Divide.

Number of doses per day.

Tablets per dose (500 mg dose, 500 mg/tablet).

Total tablets per day.

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More Chemistry Questions

Calculate the number of tablets Ethel has to receive for a complete course of promethazine 12.5mg bd for 3 days, given that the stock available is 25mg tablets.

Step-by-step solution

Formula for amount of drug remaining.

Substitute given values (A0=12A_0 = 12A0​=12 mg, t=5t = 5t=5 h, t1/2=10t_{1/2} = 10t1/2​=10 h).

Simplify exponent.

Calculate 20.5=2≈1.4142^{0.5} = \sqrt{2} \approx 1.41420.5=2​≈1.414.

Multiply.

Formula for mass of insulin.

Substitute U=35U = 35U=35 units.

Divide.

Number of doses per day.

Tablets per dose (500 mg dose, 500 mg/tablet).

Total tablets per day.

Still stuck on this one?

More Chemistry Questions

Substitute given values ( $A_0 = 12$ mg, $t = 5$ h, $t_{1/2} = 10$ h).

Calculate $2^{0.5} = \sqrt{2} \approx 1.414$ .

Substitute $U = 35$ units.