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A hydrocarbon (A) CnH(2n-4) on ozonolysi...

A hydrocarbon `(A) C_nH_(2n-4)` on ozonolysis gives `(CH_3)_2CHCH_2CHO, 2 OH"CC"H_2CH_2CHO and CH_3COCH_3` The value of n is

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To solve the problem, we need to determine the value of \( n \) for the hydrocarbon \( (A) \) with the formula \( C_nH_{2n-4} \) based on the products formed during ozonolysis. ### Step 1: Identify the products and count the carbon atoms The products given after ozonolysis are: 1. \( (CH_3)_2CHCH_2CHO \) (which is 5 carbons) 2. \( 2 \times CH_3CH_2CHO \) (which is 4 carbons for two molecules, totaling 8) 3. \( CH_3COCH_3 \) (which is 3 carbons) Now, let's count the total number of carbon atoms from these products: - For the first compound: 5 carbons - For the second compound: \( 2 \times 4 = 8 \) carbons - For the third compound: 3 carbons Adding these together: \[ 5 + 8 + 3 = 16 \text{ carbons} \] ### Step 2: Set up the equation using the general formula The general formula for the hydrocarbon is given as: \[ C_nH_{2n-4} \] Since we have determined that there are 16 carbon atoms, we can set \( n = 16 \). ### Step 3: Verify the hydrogen count Now, we can find the number of hydrogen atoms using the formula: \[ H = 2n - 4 \] Substituting \( n = 16 \): \[ H = 2(16) - 4 = 32 - 4 = 28 \] ### Step 4: Conclusion Thus, the hydrocarbon \( (A) \) has the formula \( C_{16}H_{28} \), and the value of \( n \) is: \[ \boxed{16} \]
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