Prince William visits pregnant Kate in hospital

Prince William is seen leaving King Edward VII Hospital on Dec. 3, 2012, in London. / Getty

Prince William visited his pregnant wife, Kate, at a London hospital on Tuesday, where she is spending a second day being treated for acute morning sickness.

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Prince William visits Kate at the hospital

William, 30, arrived at the King Edward VII private hospital just before noon. He was seen leaving the same hospital on Monday evening, wearing a gray sweater and walking to a waiting car.

Kate may also have other visitors on the way -- her parents, Michael and Carole Middleton, were photographed separately leaving their home in Bucklebury, England, on Tuesday morning, according to the Daily Mail.

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Kate, Duchess of Cambridge

The Duchess of Cambridge, 30, is suffering from hyperemesis gravidarum, a potentially dangerous type of morning sickness in which vomiting is so severe no food or liquid can be kept down.

She was admitted to the hospital Monday, the same day the pregnancy was announced. The palace said she was expected to remain there for several days and would require a period of rest afterward. Her public engagements have been cancelled for the next week, the AFP reports.

The palace would not say how far along the duchess is, only that she has not yet reached the 12-week mark.

• Prince William and Kate expecting a baby
• Pictures: Prince William and Kate
• Duchess Kate hospitalized for hyperemesis gravidarum: What is it?
• In hindsight, signs pointed to a royal baby
• Duchess Kate and Prince William's baby will have plenty of company in royal family

Kate's pregnancy was announced in a statement Monday that said, "Their Royal Highnesses The Duke and Duchess of Cambridge are very pleased to announce that The Duchess of Cambridge is expecting a baby. The Queen, The Duke of Edinburgh, The Prince of Wales, The Duchess of Cornwall and Prince Harry and members of both families are delighted with the news."

The announcement quickly sparked reactions around the world. Kate Middleton, #Kate and #royalbaby all became top trends on Twitter after Monday's announcement, and congratulations came from well-wishers including British Prime Minister David Cameron, who said, "I'm delighted by the news that the Duke & Duchess of Cambridge are expecting a baby. They will make wonderful parents."

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Can you spot Kate's baby bump?

Her pregnancy comes after a 2011 decision by the leaders of Britain and 15 Commonwealth nations endorsing new rules that give girls equal status with boys in the order of succession. Experts caution that laws to enact the change have not yet been passed, which could cause uncertainty if the baby is a girl.

William and Kate's child would be third in line for the throne, behind William and his father, Prince Charles. Prince Harry, who is currently third in line, would be bumped down to fourth.

[Sassytooyou]

The baby news is wonderful and that is certainly better than the rest of the news today.

[MrRightOn]

If memory serves me correctly our forefathers gave their lives to get away from the oppression of the Royal monarchy... most Americans don't give a rats ass about the Royal family. But for some strange reason the media seems to think we do ... WRONG!!! Please just let this go away.

[nanc12]

And yet, you took the time to read the story and comment on it.

[canislupus16]

"William and Kate's child will be third in line for the throne, behind William and his father, Prince Charles. Prince Harry, who is currently third in line, will be bumped down to fourth."
I'm betting Harry is not exactly crying over this news. More like, "Have more, have more!"

[heyhellogoodbye]

There's no way Kate would have married the balding Mr. Fivehead if he wasn't rich and royal. Get some Rogaine, or have your Royal Scientists develop some hair for you Will. Bloody Hell!

[pedalit]

looks don't matter when you're rich and famous. ask any hot ho

[nomorebama]

Some women are not as shallow as you and care more about personality and love then they do about a persons hairline.